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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.00899 |
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| _version_ | 1866910062190002176 |
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| author | Zaslavskii, O. B. |
| author_facet | Zaslavskii, O. B. |
| contents | We consider spherically symmetric static black hole configurations that obey the vacuum equation of state: $p_{r}=-ρ$, where $p_{r}$ is the radial pressure, $ρ$ being energy density. We find in a closed form the metric for an arbitrary equation of state for tangential pressure $p_{θ}(ρ)$. The corresponding formulas enable us to embrace compact Schwarzschild-like configurations and dispersed systems. They include metrics with a regular center and singular ones. In a particular case, the metric of the Kiselev black hole is reproduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverted equation of state and general approach to vacuum-like configurations Zaslavskii, O. B. General Relativity and Quantum Cosmology High Energy Physics - Theory We consider spherically symmetric static black hole configurations that obey the vacuum equation of state: $p_{r}=-ρ$, where $p_{r}$ is the radial pressure, $ρ$ being energy density. We find in a closed form the metric for an arbitrary equation of state for tangential pressure $p_{θ}(ρ)$. The corresponding formulas enable us to embrace compact Schwarzschild-like configurations and dispersed systems. They include metrics with a regular center and singular ones. In a particular case, the metric of the Kiselev black hole is reproduced. |
| title | Inverted equation of state and general approach to vacuum-like configurations |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.00899 |